Force And Flow

  • October 2019
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Force and Flow I will attempt to specify a distinction between two potentially productive measures of unit deeds: force and flow. A ‘unit deed’, ‘Q’, is a class of events that are contributed to by both organismic and environmental processes. Here, ‘Q’ can be treated as the number of things done, that is, a count of the deeds of a given class that have been completed. Different classes of unit deeds (e.g., ‘Q1’ and ‘Q2’) can be specified so that they account for **. A ‘transformation’ is a change in the number of unit deeds. ** ‘contribution’ A ‘force’, ‘X’, is a measure of the contribution by a unit deed to a transformation and is proportional to the number of unit deeds contributing to a transformation. X= E/Q [definition] conservative contribution per unit deed X= Q/c proportionate contribution by unit deeds c= number of unit deeds required for a given contribution per unit deed X= Jr, dissipative contribution of flow. ‘Force’ (c/f ‘Voltage’; “V= E/q, & V = q/C”) A ‘flow’ ‘J’, is a measure of the rate of transformation of unit deeds, that is, the rate of change in the number of unit deeds completed, ‘dQ’ per unit interval. J = dQ/dt [definition] J= X/r, X= Q/c, .: J= kQ, k= rc; dQ/dt = kQ Jr = Q/c : ‘flow’ by ‘resistance’ = ‘deeds’ per ‘capacitance’ The ‘power’ of any given organisation of unit deeds is the product of the force and flow. That is the ‘force’ delivered by a ‘flow’. P = XJ The ‘energy’, ‘E’, is a quantity that is conserved under transformation, ET = Σ(Ei) = EC – ED, E= XJt =

If we define ‘Qn’ to be the count of a class of deeds accomplished in a given period ‘n’, then ‘∆Qn’ is the change in the count of that class of deeds, and, ‘∆Qn/∆n is its rate of change, or ‘flow’: ‘J’. When a criterion number of Qn is achieved (i.e., Qn ≥ Qc) within a given number of periods (i.e., ∆n = nc),

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